wα-Separation Axioms in Topological Spaces
The aim of this paper is to introduce and study twonew classes of spaces,namely ωα-normal and ωα-regular spacesand obtained their properties by utilizing ωα -closed sets. Recallthat a subset A of a topological space (X, τ ) is called ωα -closedif αcl(A) ⊆ U whenever A ⊆ U and U is ω - open in (X, τ ). Wewill present some characterizations of ωα-normal and ωα-regularspaces
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- S.P. Arya and T.M. Nour, Characterization of s- normal spaces, Indian. J. Pure and Appl. Math., 21(8),(1990), 717-719.
- S.S. Benchalli, P.G. Patil and T.D. Rayanagoudar, ωα - Closed sets in Topological Spaces, The Global J. Appl. Math Sciences 2/1-2 (2009) 53-63.
- S.S. Benchalli, T.D. Rayanagoudar and P.G. Patil, g∗- Pre Regular and g∗ -Pre Normal Spaces, Int. Math. Forum 4/48(2010) 2399-2408.
- S.S. Benchalli and P.G. Patil, Some New Continuous Maps in Topological Spaces, Journal of Advanced Studies in Topology 2/1-2 (2009) 53-63.
- R. Devi, Studies on Generalizations of Closed Maps and Homeomorpisms in Topological Spaces,Ph.D. thesis, Bharatiyar University, Coimbatore (1994).
- C. Dorsett, Semi normal Spaces, Kyungpook Math. J. 25 (1985) 173-180.
- N. Levine, Generalized Closed sets in Topology, Rendi. Circ. Math. Palermo 19/2 (1970) 89-96.
- S.N. Maheshwar and R. Prasad, On s-normal spaces, Bull. Math. Soc. Sci. Math. R.S. Roumanie 22 (1978) 27-28.
- B.M. Munshi, Separation axioms, Acta Ciencia Indica 12 (1986) 140-146.
- T. Noiri and V. Popa, On g-regular spaces and some functions, Mem. Fac. Sci. Kochi Univ. Math 20 (1999)67-74.
- P.G. Patil, S.S. Benchalli and T.D. Rayanagoudar, Generalization of New Continuous Functions in Topological Spaces, CUBO, A Mathematical Journal 5/3 (2013) 51-58.
- M.S. John, A Study on Generalizations of Closed Sets and Continuous Maps in Topological and Bitopological spaces , Ph.D. Thesis, Bharathiar University, Coim- batore (2002).
- ISSN: 1304-7981
- Yayın Aralığı: Yılda 3 Sayı
- Başlangıç: 2012
- Yayıncı: Tokat Gaziosmanpaşa Üniversitesi